The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers

Autores
Collier, Nathan; Pardo, David; Dalcin, Lisandro Daniel; Paszynski, Maciej; Calo, V.M.
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the performance of direct solvers on linear systems of equations resulting from isogeometric analysis. The problem of choice is the canonical Laplace equation in three dimensions. From this study we conclude that for a fixed number of unknowns and polynomial degree of approximation, a higher degree of continuity k drastically increases the CPU time and RAM needed to solve the problem when using a direct solver. This paper presents numerical results detailing the phenomenon as well as a theoretical analysis that explains the underlying cause.
Fil: Collier, Nathan. King Abdullah University Of Science And Technology;
Fil: Pardo, David. Universidad del Pais Vasco - Euskal Herriko Unibertsitatea, Campus Bizkaia;
Fil: Dalcin, Lisandro Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
Fil: Paszynski, Maciej. Agh University Of Science And Technology;
Fil: Calo, V.M.. King Abdullah University Of Science And Technology;
Materia
Direct Solvers
Isogeometric Analysis
K-Refinement
Multi-Frontal Solvers
Performance
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/76419
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/76419
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling The cost of continuity: a study of the performance of isogeometric finite elements using direct solversCollier, NathanPardo, DavidDalcin, Lisandro DanielPaszynski, MaciejCalo, V.M.Direct SolversIsogeometric AnalysisK-RefinementMulti-Frontal SolversPerformanceWe study the performance of direct solvers on linear systems of equations resulting from isogeometric analysis. The problem of choice is the canonical Laplace equation in three dimensions. From this study we conclude that for a fixed number of unknowns and polynomial degree of approximation, a higher degree of continuity k drastically increases the CPU time and RAM needed to solve the problem when using a direct solver. This paper presents numerical results detailing the phenomenon as well as a theoretical analysis that explains the underlying cause.Fil: Collier, Nathan. King Abdullah University Of Science And Technology;Fil: Pardo, David. Universidad del Pais Vasco - Euskal Herriko Unibertsitatea, Campus Bizkaia;Fil: Dalcin, Lisandro Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; ArgentinaFil: Paszynski, Maciej. Agh University Of Science And Technology;Fil: Calo, V.M.. King Abdullah University Of Science And Technology;Elsevier Science Sa2012-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/76419Collier, Nathan; Pardo, David; Dalcin, Lisandro Daniel; Paszynski, Maciej; Calo, V.M.; The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers; Elsevier Science Sa; Computer Methods in Applied Mechanics and Engineering; 213-216; 3-2012; 353-3610045-7825CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.cma.2011.11.002info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:27:08Zoai:ri.conicet.gov.ar:11336/76419instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 11:27:09.137CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers
title The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers
spellingShingle The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers
Collier, Nathan
Direct Solvers
Isogeometric Analysis
K-Refinement
Multi-Frontal Solvers
Performance
title_short The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers
title_full The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers
title_fullStr The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers
title_full_unstemmed The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers
title_sort The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers
dc.creator.none.fl_str_mv Collier, Nathan
Pardo, David
Dalcin, Lisandro Daniel
Paszynski, Maciej
Calo, V.M.
author Collier, Nathan
author_facet Collier, Nathan
Pardo, David
Dalcin, Lisandro Daniel
Paszynski, Maciej
Calo, V.M.
author_role author
author2 Pardo, David
Dalcin, Lisandro Daniel
Paszynski, Maciej
Calo, V.M.
author2_role author
author
author
author
dc.subject.none.fl_str_mv Direct Solvers
Isogeometric Analysis
K-Refinement
Multi-Frontal Solvers
Performance
topic Direct Solvers
Isogeometric Analysis
K-Refinement
Multi-Frontal Solvers
Performance
dc.description.none.fl_txt_mv We study the performance of direct solvers on linear systems of equations resulting from isogeometric analysis. The problem of choice is the canonical Laplace equation in three dimensions. From this study we conclude that for a fixed number of unknowns and polynomial degree of approximation, a higher degree of continuity k drastically increases the CPU time and RAM needed to solve the problem when using a direct solver. This paper presents numerical results detailing the phenomenon as well as a theoretical analysis that explains the underlying cause.
Fil: Collier, Nathan. King Abdullah University Of Science And Technology;
Fil: Pardo, David. Universidad del Pais Vasco - Euskal Herriko Unibertsitatea, Campus Bizkaia;
Fil: Dalcin, Lisandro Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
Fil: Paszynski, Maciej. Agh University Of Science And Technology;
Fil: Calo, V.M.. King Abdullah University Of Science And Technology;
description We study the performance of direct solvers on linear systems of equations resulting from isogeometric analysis. The problem of choice is the canonical Laplace equation in three dimensions. From this study we conclude that for a fixed number of unknowns and polynomial degree of approximation, a higher degree of continuity k drastically increases the CPU time and RAM needed to solve the problem when using a direct solver. This paper presents numerical results detailing the phenomenon as well as a theoretical analysis that explains the underlying cause.
publishDate 2012
dc.date.none.fl_str_mv 2012-03
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/76419
Collier, Nathan; Pardo, David; Dalcin, Lisandro Daniel; Paszynski, Maciej; Calo, V.M.; The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers; Elsevier Science Sa; Computer Methods in Applied Mechanics and Engineering; 213-216; 3-2012; 353-361
0045-7825
CONICET Digital
CONICET
url http://hdl.handle.net/11336/76419
identifier_str_mv Collier, Nathan; Pardo, David; Dalcin, Lisandro Daniel; Paszynski, Maciej; Calo, V.M.; The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers; Elsevier Science Sa; Computer Methods in Applied Mechanics and Engineering; 213-216; 3-2012; 353-361
0045-7825
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cma.2011.11.002
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science Sa
publisher.none.fl_str_mv Elsevier Science Sa
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1846781836867403776
score 12.982451

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